مشخصات پژوهش

عنوان	Legendre spectral element method for solving sine-Gordon equation
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Sine-Gordon equation; Legendre spectral element method; Leap-frog method
چکیده	In this paper, we study the Legendre spectral element method for solving the sine-Gordon equation in one dimension. Firstly, we discretize the equation by Legendre spectral element in space and then discretize the time by the second-order leap-frog method. We study the stability and convergence of the method and show the convergence of our method. Finally, we show the results with numerical examples.
پژوهشگران	محمود لطفی (نفر اول)، امجد علی پناه (نفر دوم)